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Finding the Fourth Proportional to 284,726.94, 392,924.96 and 155,665.71

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Solution

The fourth proportional to 284,726.94, 392,924.96 and 155,665.71 is: 214,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726.94 : 392,924.96 = 155,665.71 : x
  2. Step 2: Convert to fraction form
    284,726.94/392,924.96 = 155,665.71/x
  3. Step 3: Cross multiply
    284,726.94x = 392,924.96 × 155,665.71
  4. Step 4: Simplify right side
    284,726.94x = 61,164,940,132.17
  5. Step 5: Solve for x
    x = 61,164,940,132.17/284,726.94
  6. Step 6: Final answer
    x = 214,819.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.